MathCastle
Grade 5SuperchallengeOrder of Operations

Order of Operations · Superchallenge problem

Each box in 1 □ 2 □ 3 □ 41 \ \square\ 2 \ \square\ 3 \ \square\ 4 is filled with one of ++, −-, ×\times, ÷\div (signs may repeat), and the usual order of operations is used. In how many of the 6464 ways is the result exactly 1010?